This module provides the definitions of M and Minv for MRT advection relaxation scheme for all stencils.
The weighted MRT (D3Q27) is based on the following paper Abbas Fakhari, Diogo Bolster, Li-Shi Luo "A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades" Journal of Computational Physics, 2017
The MRT (D3Q19) implementation here is taken from:\n J. Toelke, S. Freudiger, and M. Krafczyk, "An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations," Comput. Fluids, vol. 35, pp. 820–830, 2006. \n
| Type | Visibility | Attributes | Name | Initial | |||
|---|---|---|---|---|---|---|---|
| real(kind=rk), | public, | parameter, dimension(19,19) | :: | MMtrD3Q19 | = | reshape((/1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, -1._rk, -2._rk, -2._rk, -2._rk, -2._rk, -2._rk, -2._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, -1._rk, 0._rk, 0._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 2._rk, 0._rk, 0._rk, -2._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, -1._rk, 0._rk, 0._rk, 1._rk, 0._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 2._rk, 0._rk, 0._rk, -2._rk, 0._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, -1._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 2._rk, 0._rk, 0._rk, -2._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 2._rk, -1._rk, -1._rk, 2._rk, -1._rk, -1._rk, -2._rk, -2._rk, -2._rk, -2._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, -2._rk, 1._rk, 1._rk, -2._rk, 1._rk, 1._rk, -2._rk, -2._rk, -2._rk, -2._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 1._rk, -1._rk, 0._rk, 1._rk, -1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, 0._rk, -1._rk, 1._rk, 0._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk/), (/19, 19/), order=(/2, 1/)) | |
| real(kind=rk), | public, | parameter, dimension(19,19) | :: | MMivD3Q19 | = | reshape((/div1_18, 0._rk, -div1_18, -div1_6, div1_6, 0._rk, 0._rk, 0._rk, 0._rk, div1_12, -div1_12, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, 0._rk, -div1_18, 0._rk, 0._rk, -div1_6, div1_6, 0._rk, 0._rk, -div1_24, div1_24, div1_8, -div1_8, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, 0._rk, -div1_18, 0._rk, 0._rk, 0._rk, 0._rk, -div1_6, div1_6, -div1_24, div1_24, -div1_8, div1_8, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, 0._rk, -div1_18, div1_6, -div1_6, 0._rk, 0._rk, 0._rk, 0._rk, div1_12, -div1_12, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, 0._rk, -div1_18, 0._rk, 0._rk, div1_6, -div1_6, 0._rk, 0._rk, -div1_24, div1_24, div1_8, -div1_8, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, 0._rk, -div1_18, 0._rk, 0._rk, 0._rk, 0._rk, div1_6, -div1_6, -div1_24, div1_24, -div1_8, div1_8, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_36, div1_24, div1_72, 0._rk, 0._rk, -div1_12, -div1_24, -div1_12, -div1_24, -div1_24, -div1_24, 0._rk, 0._rk, 0._rk, div1_4, 0._rk, 0._rk, -div1_8, div1_8, div1_36, div1_24, div1_72, 0._rk, 0._rk, -div1_12, -div1_24, div1_12, div1_24, -div1_24, -div1_24, 0._rk, 0._rk, 0._rk, -div1_4, 0._rk, 0._rk, -div1_8, -div1_8, div1_36, div1_24, div1_72, 0._rk, 0._rk, div1_12, div1_24, -div1_12, -div1_24, -div1_24, -div1_24, 0._rk, 0._rk, 0._rk, -div1_4, 0._rk, 0._rk, div1_8, div1_8, div1_36, div1_24, div1_72, 0._rk, 0._rk, div1_12, div1_24, div1_12, div1_24, -div1_24, -div1_24, 0._rk, 0._rk, 0._rk, div1_4, 0._rk, 0._rk, div1_8, -div1_8, div1_36, div1_24, div1_72, -div1_12, -div1_24, 0._rk, 0._rk, -div1_12, -div1_24, div1_48, div1_48, -div1_16, -div1_16, 0._rk, 0._rk, div1_4, div1_8, 0._rk, -div1_8, div1_36, div1_24, div1_72, div1_12, div1_24, 0._rk, 0._rk, -div1_12, -div1_24, div1_48, div1_48, -div1_16, -div1_16, 0._rk, 0._rk, -div1_4, -div1_8, 0._rk, -div1_8, div1_36, div1_24, div1_72, -div1_12, -div1_24, 0._rk, 0._rk, div1_12, div1_24, div1_48, div1_48, -div1_16, -div1_16, 0._rk, 0._rk, -div1_4, div1_8, 0._rk, div1_8, div1_36, div1_24, div1_72, div1_12, div1_24, 0._rk, 0._rk, div1_12, div1_24, div1_48, div1_48, -div1_16, -div1_16, 0._rk, 0._rk, div1_4, -div1_8, 0._rk, div1_8, div1_36, div1_24, div1_72, -div1_12, -div1_24, -div1_12, -div1_24, 0._rk, 0._rk, div1_48, div1_48, div1_16, div1_16, div1_4, 0._rk, 0._rk, -div1_8, div1_8, 0._rk, div1_36, div1_24, div1_72, -div1_12, -div1_24, div1_12, div1_24, 0._rk, 0._rk, div1_48, div1_48, div1_16, div1_16, -div1_4, 0._rk, 0._rk, -div1_8, -div1_8, 0._rk, div1_36, div1_24, div1_72, div1_12, div1_24, -div1_12, -div1_24, 0._rk, 0._rk, div1_48, div1_48, div1_16, div1_16, -div1_4, 0._rk, 0._rk, div1_8, div1_8, 0._rk, div1_36, div1_24, div1_72, div1_12, div1_24, div1_12, div1_24, 0._rk, 0._rk, div1_48, div1_48, div1_16, div1_16, div1_4, 0._rk, 0._rk, div1_8, -div1_8, 0._rk, div1_3, -div1_2, div1_6, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk/), (/19, 19/), order=(/2, 1/)) | |
| real(kind=rk), | public, | parameter, dimension(27,27) | :: | WMMtrD3Q27 | = | reshape((/1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, -1._rk, 0._rk, 0._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, -1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, 0._rk, -1._rk, 0._rk, 0._rk, 1._rk, 0._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, -1._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 1._rk, -1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, -1._rk, 1._rk, 0._rk, 2._rk, -1._rk, -1._rk, 2._rk, -1._rk, -1._rk, -2._rk, -2._rk, -2._rk, -2._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 0._rk, 1._rk, -1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 1._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, -1._rk, 2._rk, 0._rk, 0._rk, -2._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, -4._rk, -4._rk, -4._rk, -4._rk, 4._rk, 4._rk, 4._rk, 4._rk, 0._rk, 0._rk, 2._rk, 0._rk, 0._rk, -2._rk, 0._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, -1._rk, 1._rk, -4._rk, -4._rk, 4._rk, 4._rk, -4._rk, -4._rk, 4._rk, 4._rk, 0._rk, 0._rk, 0._rk, 2._rk, 0._rk, 0._rk, -2._rk, -1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -4._rk, 4._rk, -4._rk, 4._rk, -4._rk, 4._rk, -4._rk, 4._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, -1._rk, 1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, 1._rk, -1._rk, 1._rk, -1._rk, -1._rk, 1._rk, 0._rk, -1._rk, -1._rk, -1._rk, -1._rk, -1._rk, -1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 4._rk, 4._rk, 4._rk, 4._rk, 4._rk, 4._rk, 4._rk, 4._rk, 1._rk, -2._rk, 1._rk, 1._rk, -2._rk, 1._rk, 1._rk, -4._rk, -4._rk, -4._rk, -4._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, 0._rk, -1._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, -2._rk, -2._rk, -2._rk, -2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, 1._rk, -1._rk, 2._rk, 2._rk, -2._rk, -2._rk, -2._rk, -2._rk, 2._rk, 2._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, 1._rk, -1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 2._rk, -2._rk, -2._rk, 2._rk, 2._rk, -2._rk, -2._rk, 2._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -1._rk, 1._rk, 1._rk, -1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 2._rk, -2._rk, 2._rk, -2._rk, -2._rk, 2._rk, -2._rk, 2._rk, 0._rk, -1._rk, 0._rk, 0._rk, 1._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 2._rk, -2._rk, 2._rk, -2._rk, 2._rk, 2._rk, -2._rk, -2._rk, -4._rk, -4._rk, -4._rk, -4._rk, 4._rk, 4._rk, 4._rk, 4._rk, 0._rk, 0._rk, -1._rk, 0._rk, 0._rk, 1._rk, 0._rk, 2._rk, 2._rk, -2._rk, -2._rk, 0._rk, 0._rk, 0._rk, 0._rk, 2._rk, -2._rk, 2._rk, -2._rk, -4._rk, -4._rk, 4._rk, 4._rk, -4._rk, -4._rk, 4._rk, 4._rk, 0._rk, 0._rk, 0._rk, -1._rk, 0._rk, 0._rk, 1._rk, 2._rk, -2._rk, 2._rk, -2._rk, 2._rk, 2._rk, -2._rk, -2._rk, 0._rk, 0._rk, 0._rk, 0._rk, -4._rk, 4._rk, -4._rk, 4._rk, -4._rk, 4._rk, -4._rk, 4._rk, 0._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, 2._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, -4._rk, 8._rk, 8._rk, 8._rk, 8._rk, 8._rk, 8._rk, 8._rk, 8._rk, -1._rk/), (/27, 27/), order=(/2, 1/)) | |
| real(kind=rk), | public, | parameter, dimension(27,27) | :: | WMMIvD3Q27 | = | reshape((/div2_27, -div2_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_9, 0._rk, 0._rk, div1_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, -div1_18, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, 0._rk, 0._rk, div1_54, div2_27, 0._rk, -div2_9, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, div1_6, 0._rk, 0._rk, div1_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, div1_36, -div1_12, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, 0._rk, div1_54, div2_27, 0._rk, 0._rk, -div2_9, 0._rk, 0._rk, 0._rk, -div1_18, -div1_6, 0._rk, 0._rk, 0._rk, div1_9, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, div1_36, div1_12, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, div1_54, div2_27, div2_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_9, 0._rk, 0._rk, -div1_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, -div1_18, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, 0._rk, 0._rk, div1_54, div2_27, 0._rk, div2_9, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, div1_6, 0._rk, 0._rk, -div1_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, div1_36, -div1_12, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, 0._rk, div1_54, div2_27, 0._rk, 0._rk, div2_9, 0._rk, 0._rk, 0._rk, -div1_18, -div1_6, 0._rk, 0._rk, 0._rk, -div1_9, 0._rk, 0._rk, 0._rk, 0._rk, -div1_18, div1_36, div1_12, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div1_18, div1_54, div1_54, 0._rk, -div1_18, -div1_18, 0._rk, div1_6, 0._rk, -div1_36, 0._rk, div1_36, 0._rk, -div1_72, -div1_72, 0._rk, -div1_8, div1_8, 0._rk, 0._rk, -div1_36, 0._rk, 0._rk, -div1_12, 0._rk, 0._rk, div1_36, div1_36, -div1_108, div1_54, 0._rk, -div1_18, div1_18, 0._rk, -div1_6, 0._rk, -div1_36, 0._rk, div1_36, 0._rk, -div1_72, div1_72, 0._rk, -div1_8, -div1_8, 0._rk, 0._rk, -div1_36, 0._rk, 0._rk, div1_12, 0._rk, 0._rk, div1_36, -div1_36, -div1_108, div1_54, 0._rk, div1_18, -div1_18, 0._rk, -div1_6, 0._rk, -div1_36, 0._rk, div1_36, 0._rk, div1_72, -div1_72, 0._rk, div1_8, div1_8, 0._rk, 0._rk, -div1_36, 0._rk, 0._rk, div1_12, 0._rk, 0._rk, -div1_36, div1_36, -div1_108, div1_54, 0._rk, div1_18, div1_18, 0._rk, div1_6, 0._rk, -div1_36, 0._rk, div1_36, 0._rk, div1_72, div1_72, 0._rk, div1_8, -div1_8, 0._rk, 0._rk, -div1_36, 0._rk, 0._rk, -div1_12, 0._rk, 0._rk, -div1_36, -div1_36, -div1_108, div1_54, -div1_18, 0._rk, -div1_18, 0._rk, 0._rk, div1_6, div1_72, -div1_24, div1_36, -div1_72, 0._rk, -div1_72, div1_8, 0._rk, -div1_8, 0._rk, 0._rk, div1_72, -div1_24, 0._rk, 0._rk, -div1_12, div1_36, 0._rk, div1_36, -div1_108, div1_54, div1_18, 0._rk, -div1_18, 0._rk, 0._rk, -div1_6, div1_72, -div1_24, div1_36, div1_72, 0._rk, -div1_72, -div1_8, 0._rk, -div1_8, 0._rk, 0._rk, div1_72, -div1_24, 0._rk, 0._rk, div1_12, -div1_36, 0._rk, div1_36, -div1_108, div1_54, -div1_18, 0._rk, div1_18, 0._rk, 0._rk, -div1_6, div1_72, -div1_24, div1_36, -div1_72, 0._rk, div1_72, div1_8, 0._rk, div1_8, 0._rk, 0._rk, div1_72, -div1_24, 0._rk, 0._rk, div1_12, div1_36, 0._rk, -div1_36, -div1_108, div1_54, div1_18, 0._rk, div1_18, 0._rk, 0._rk, div1_6, div1_72, -div1_24, div1_36, div1_72, 0._rk, div1_72, -div1_8, 0._rk, div1_8, 0._rk, 0._rk, div1_72, -div1_24, 0._rk, 0._rk, -div1_12, -div1_36, 0._rk, -div1_36, -div1_108, div1_54, -div1_18, -div1_18, 0._rk, div1_6, 0._rk, 0._rk, div1_72, div1_24, div1_36, -div1_72, -div1_72, 0._rk, -div1_8, div1_8, 0._rk, 0._rk, 0._rk, div1_72, div1_24, -div1_12, 0._rk, 0._rk, div1_36, div1_36, 0._rk, -div1_108, div1_54, -div1_18, div1_18, 0._rk, -div1_6, 0._rk, 0._rk, div1_72, div1_24, div1_36, -div1_72, div1_72, 0._rk, -div1_8, -div1_8, 0._rk, 0._rk, 0._rk, div1_72, div1_24, div1_12, 0._rk, 0._rk, div1_36, -div1_36, 0._rk, -div1_108, div1_54, div1_18, -div1_18, 0._rk, -div1_6, 0._rk, 0._rk, div1_72, div1_24, div1_36, div1_72, -div1_72, 0._rk, div1_8, div1_8, 0._rk, 0._rk, 0._rk, div1_72, div1_24, div1_12, 0._rk, 0._rk, -div1_36, div1_36, 0._rk, -div1_108, div1_54, div1_18, div1_18, 0._rk, div1_6, 0._rk, 0._rk, div1_72, div1_24, div1_36, div1_72, div1_72, 0._rk, div1_8, -div1_8, 0._rk, 0._rk, 0._rk, div1_72, div1_24, -div1_12, 0._rk, 0._rk, -div1_36, -div1_36, 0._rk, -div1_108, div1_216, -div1_72, -div1_72, -div1_72, div1_24, div1_24, div1_24, 0._rk, 0._rk, div1_72, -div1_72, -div1_72, -div1_72, 0._rk, 0._rk, 0._rk, -div1_8, div1_72, 0._rk, 0._rk, div1_24, div1_24, div1_24, -div1_72, -div1_72, -div1_72, div1_216, div1_216, -div1_72, -div1_72, div1_72, div1_24, -div1_24, -div1_24, 0._rk, 0._rk, div1_72, -div1_72, -div1_72, div1_72, 0._rk, 0._rk, 0._rk, div1_8, div1_72, 0._rk, 0._rk, div1_24, -div1_24, -div1_24, -div1_72, -div1_72, div1_72, div1_216, div1_216, -div1_72, div1_72, -div1_72, -div1_24, -div1_24, div1_24, 0._rk, 0._rk, div1_72, -div1_72, div1_72, -div1_72, 0._rk, 0._rk, 0._rk, div1_8, div1_72, 0._rk, 0._rk, -div1_24, -div1_24, div1_24, -div1_72, div1_72, -div1_72, div1_216, div1_216, -div1_72, div1_72, div1_72, -div1_24, div1_24, -div1_24, 0._rk, 0._rk, div1_72, -div1_72, div1_72, div1_72, 0._rk, 0._rk, 0._rk, -div1_8, div1_72, 0._rk, 0._rk, -div1_24, div1_24, -div1_24, -div1_72, div1_72, div1_72, div1_216, div1_216, div1_72, -div1_72, -div1_72, -div1_24, div1_24, -div1_24, 0._rk, 0._rk, div1_72, div1_72, -div1_72, -div1_72, 0._rk, 0._rk, 0._rk, div1_8, div1_72, 0._rk, 0._rk, -div1_24, div1_24, -div1_24, div1_72, -div1_72, -div1_72, div1_216, div1_216, div1_72, -div1_72, div1_72, -div1_24, -div1_24, div1_24, 0._rk, 0._rk, div1_72, div1_72, -div1_72, div1_72, 0._rk, 0._rk, 0._rk, -div1_8, div1_72, 0._rk, 0._rk, -div1_24, -div1_24, div1_24, div1_72, -div1_72, div1_72, div1_216, div1_216, div1_72, div1_72, -div1_72, div1_24, -div1_24, -div1_24, 0._rk, 0._rk, div1_72, div1_72, div1_72, -div1_72, 0._rk, 0._rk, 0._rk, -div1_8, div1_72, 0._rk, 0._rk, div1_24, -div1_24, -div1_24, div1_72, div1_72, -div1_72, div1_216, div1_216, div1_72, div1_72, div1_72, div1_24, div1_24, div1_24, 0._rk, 0._rk, div1_72, div1_72, div1_72, div1_72, 0._rk, 0._rk, 0._rk, div1_8, div1_72, 0._rk, 0._rk, div1_24, div1_24, div1_24, div1_72, div1_72, div1_72, div1_216, div8_27, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -div4_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, div2_9, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, 0._rk, -div1_27/), (/27, 27/), order=(/2, 1/)) |